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3 years ago

Which function is an odd function?

1 answer:

hjlf3 years ago

8 0

A function is odd if:
f ( - x ) = - f ( x )
A ) f ( - x )= 0.8 ( - x ) ^3 = - 0.8 x^3 = - f ( x )
Answer: A ) f ( x ) = 0.8 x^3 is an odd function.
Functions B ) and C ) are even and D) is neither even nor odd.

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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

$\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

$\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago

Which statement about isosceles triangles is true?

Paraphin [41]

C- I’m assuming that you meant to say that they have one angle that is equivalent to another
All isosceles triangles have two sides that are of equal length

7 0

3 years ago

To gain access to his account, a customer using an automatic teller machine (ATM) must enter a four-digit code. If repetition of

VMariaS [17]

I’m not really much sure, I tried.

8 0

3 years ago

2(3x+8)=6x+16 how many solutions does this equation have

Kisachek [45]

Answer:

infinite

Step-by-step explanation:

infinite

but solving for it we can get

3x + 8 = 3x + 8 (divided both sides by 2)

3x = 3x (subtracted 8)

x = x

1 = 1

therefore, for all values of x, the equation will be true so there are

infinite solutions

4 0

3 years ago

What is the sum of 2 3/5 - 1 3/8

Natalija [7]

The Sum of 2 3/5-1 3/8 is 1.225
i hoped that helped u.

8 0

3 years ago